[HTML][HTML] Shape evolution of fluid deformable surfaces under active geometric forces

M Porrmann, A Voigt - Physics of Fluids, 2024 - pubs.aip.org
Models for fluid deformable surfaces provide valid theories to describe the dynamics of thin
fluidic sheets of soft materials. To use such models in morphogenesis and development …

On a Complete Riemannian Metric on the Space of Embedded Curves

E Döhrer, P Reiter, H Schumacher - arxiv preprint arxiv:2501.16647, 2025 - arxiv.org
We propose a new strong Riemannian metric on the manifold of (parametrized) embedded
curves of regularity $ H^ s $, $ s\in (3/2, 2) $. We highlight its close relationship to the …